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Showing 1 to 3 of 3 for “"permutation module"”.
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Cameron-Liebler Sets for 2-Transitive Groups
… xS is a boolean vector contained in a particular module, which is called the permutation module MP. This module has a dimension of 1 + (n − 1)2, where n = deg(G), and it is spanned by {xij | i,j∈{1,...,n}}, where each xij is the characteristic vector of Sij, the set of permutations that map i to …
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Rank 3 permuation characters and maximal subgroups
Let G be a transitive permutation group acting on a finite set E. Let P be a stabilizer in G of a point in E. We say G is primitive rank 3 on E if P is maximal in G and P has exactly three orbits on E. For any subgroup H of G, we denote by 1 \(\frac{G}{H}\) the permutation character or permutation …
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Endomorphismenringe von Permutationsmoduln auf den Nebenklassen einer p-Sylowgruppe
… has proposed to analyse endomorphism rings of permutation modules of groups on the cosets on its Sylow-p-subgroup. This thesis contributes to this approach. At first, fundamental elements of the ordinary and modular representation theory of such endomorphism rings are analyzed and compared with …